Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-3" was replaced by "^(-3)". 1 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)^-3 = (2•5)^(-3) = (2)^(-3) • (5)^(-3)

Equation at the end of step  1  :

  ((2 • (10-4)) • 5) • ((2)(-3)•(5)(-3))

Step  2  :

 2.1     10 = 2•5

(10)^-4 = (2•5)^(-4) = (2)^(-4) • (5)^(-4)

Equation at the end of step  2  :

  ((2 • ((2)(-4)•(5)(-4))) • 5) • ((2)(-3)•(5)(-3))

Step  3  :

Dividing exponents :

 3.1    2¹   divided by   2⁴   = 2^{(1 - 4)} = 2^(-3) = ¹/_2³

Equation at the end of step  3  :

     1 
  (———— • 5) • ((2)(-3)•(5)(-3))
   5000

Step  4  :

Multiplying exponents :

 4.1    2³  multiplied by  2³   = 2^{(3 + 3)} = 2⁶

Multiplying exponents :

 4.2    5³  multiplied by  5³   = 5^{(3 + 3)} = 5⁶

Final result :

     1                                      
  ——————— = 10.00000 • 10-7 
  (26•56)